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Finding the Fourth Proportional to 10,951.10, 16,426.65 and 6,566.30

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Solution

The fourth proportional to 10,951.10, 16,426.65 and 6,566.30 is: 9,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.10 : 16,426.65 = 6,566.30 : x
  2. Step 2: Convert to fraction form
    10,951.10/16,426.65 = 6,566.30/x
  3. Step 3: Cross multiply
    10,951.10x = 16,426.65 × 6,566.30
  4. Step 4: Simplify right side
    10,951.10x = 107,862,311.90
  5. Step 5: Solve for x
    x = 107,862,311.90/10,951.10
  6. Step 6: Final answer
    x = 9,849.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.